4 citations · 6 across the 3 of their papers we have counts for
4 papers
Blow-up criterion to the compressible full Navier-Stokes equations with inflow-outflow boundary conditions
C. H. Arthur Cheng, Young-Sam Kwon, Cheng-Fang Su
We investigate the compressible Navier-Stokes equations with heat conduction subject to inflow/outflow boundary conditions, establishing the existence of a strong solution. The pri…
Well-posedness of the Muskat problem with initial data
C. H. Arthur Cheng, Rafael Granero-Belinchón, Steve Shkoller
We study the dynamics of the interface between two incompressible fluids in a two-dimensional porous medium whose flow is modeled by the Muskat equations. For the two-phase Muskat…
Solvability and regularity for an elliptic system prescribing the curl, divergence, and partial trace of a vector field on Sobolev-class domains
C. H. Arthur Cheng, Steve Shkoller
We provide a self-contained proof of the solvability and regularity of a Hodge-type elliptic system, wherein the divergence and curl of a vector field are prescribed in an open, bo…
The existence of solutions of 2-dimensional incompressible Navier-Stokes equations with surface tension in an optimal Sobolev space
C. H. Arthur Cheng, Ying-Chieh Lin, Cheng-Fang Su
We establish the existence of a solution to the Navier-Stokes equations on a moving domain with surface tension in an optimal Sobolev space for the case of two space dimension. No…